Modelling drainage of the precorneal tear film after a blink

Braun, R.J. and Fitt, A.D. (2003) Modelling drainage of the precorneal tear film after a blink. Mathematical Medicine and Biology, 20, (1), 1-28. (doi:10.1093/imammb/20.1.1).


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We study the drainage of the precorneal tear film in humans. A fluid dynamic model for the drainage of the aqueous layer is developed that includes the effects of evaporation and gravity. The model may be reduced to a single nonlinear partial differential equation for the thickness of the aqueous layer. The equation is solved numerically and accurate times for film rupture are obtained for physically realistic parameters. The results indicate that although gravity and evaporation are not the most dominant effects in some parts of the film, they can nevertheless materially affect the film drainage process and should therefore be included in models for tear film drainage.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/imammb/20.1.1
ISSNs: 1477-8599 (print)
Related URLs:
Keywords: precorneal tear film, film drainage, dry eye
Subjects: R Medicine > RE Ophthalmology
Q Science > QA Mathematics
Q Science > QP Physiology
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29134
Accepted Date and Publication Date:
March 2003Published
Date Deposited: 12 May 2006
Last Modified: 31 Mar 2016 11:54

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